Explore the cutting-edge of mathematics with “Complex Semisimple Quantum Groups and Representation Theory” from The Bookish Owl. This comprehensive guide delves into Drinfeld doubles of q-deformations of compact semisimple Lie groups. It offers a thorough introduction to quantized universal enveloping algebras, covering representation theory, the Poincaré-Birkhoff-Witt Theorem, and the Harish-Chandra homomorphism. The book meticulously details the analytic theory of quantized complex semisimple Lie groups, exploring quantized algebras of functions and their duals. It further investigates algebraic representation theory via category O and analytic representation theory for these quantized groups. Ideal for graduate students and researchers in quantum groups and representation theory, this essential volume enhances your understanding of advanced mathematical concepts.